What is the Least Common Multiple of 67988 and 68005?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 67988 and 68005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67988 and 68005, than apply into the LCM equation.

GCF(67988,68005) = 1
LCM(67988,68005) = ( 67988 × 68005) / 1
LCM(67988,68005) = 4623523940 / 1
LCM(67988,68005) = 4623523940

Least Common Multiple (LCM) of 67988 and 68005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67988 and 68005. First we will calculate the prime factors of 67988 and 68005.

Prime Factorization of 67988

Prime Factorization of 68005

Now multiplying the highest exponent prime factors to calculate the LCM of 67988 and 68005.

LCM(67988,68005) = 2² × 23¹ × 739¹ × 5¹ × 7¹ × 29¹ × 67¹
LCM(67988,68005) = 4623523940